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Finding the Fourth Proportional to 82,514, 123,572.28 and 52,839.92

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Solution

The fourth proportional to 82,514, 123,572.28 and 52,839.92 is: 79,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,514 : 123,572.28 = 52,839.92 : x
  2. Step 2: Convert to fraction form
    82,514/123,572.28 = 52,839.92/x
  3. Step 3: Cross multiply
    82,514x = 123,572.28 × 52,839.92
  4. Step 4: Simplify right side
    82,514x = 6,529,549,389.42
  5. Step 5: Solve for x
    x = 6,529,549,389.42/82,514
  6. Step 6: Final answer
    x = 79,132.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.